A Parametric Family of Quintic Thue Equations II |
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Authors: | István Gaál Günter Lettl |
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Institution: | University of Debrecen, Hungary, HU Karl-Franzens-Universit?t, Graz, Austria, AT
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Abstract: | In this paper we completely solve the family of Thue equations
where is an integral parameter. In particular, for , the only solutions are the trivial ones with x = 0 or y = 0. The result is achieved by sharpening the estimates of part I of the paper and by solving Thue equations with the method of Bilu and Hanrot.
(Received 25 January 2000; in revised form 10 April 2000) |
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Keywords: | 1991 Mathematics Subject Classification: 11D59 11Y50 |
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